
where \(\Delta _x(x)\) , \(\Delta _y(x)\) , and \(\Delta _s({\omega _{m}},x)\) 
are the superconducting order parameters for the \(p_x\) -, \(p_y\) -, and \(s\) -waves, respectively.
The Fermi wavevector dependences are expressed by the angle of \({\theta _k}\)  as shown in Fig. REF (b).
The order parameters are real numbers and are determined by
[1]}
\(&\left(\begin{matrix}\Delta _x(x) \cr \Delta _y(x) \cr \Delta _s({\omega _{l}},x) \cr \end{matrix}\right)= 2 T \sum _{0 < {\omega _{m}}< \omega _{\rm c}} \int _0^{\frac{\pi }{2}} {\rm d}{\theta _k}\cr &\times \left(\begin{matrix}2 V_x \cos {\theta _k}{\rm Re} \left[ f({\theta _k},{\omega _{m}},x) - f(\pi -{\theta _k},{\omega _{m}},x) \right] \cr 2 V_y \sin {\theta _k}{\rm Im} \left[ f({\theta _k},{\omega _{m}},x) + f(\pi -{\theta _k},{\omega _{m}},x) \right] \cr V_s V_-({\omega _{l}},{\omega _{m}}) {\rm Re} \left[ f({\theta _k},{\omega _{m}},x) + f(\pi -{\theta _k},{\omega _{m}},x) \right]\end{matrix}\right), \cr \) 
